Diagrams.Trail:splitAtParam from diagrams-lib-1.3.0.3, C

Time bar (total: 6.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze11.0ms (0.2%)

Memory
16.7MiB live, 16.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample773.0ms (11.9%)

Memory
23.7MiB live, 856.9MiB allocated
Samples
532.0ms8 254×0valid
0.0ms2×1valid
Precisions
Click to see histograms. Total time spent on operations: 311.0ms
ival-sub: 225.0ms (72.3% of total)
ival-div: 71.0ms (22.8% of total)
ival-true: 6.0ms (1.9% of total)
exact: 5.0ms (1.6% of total)
ival-assert: 3.0ms (1% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain102.0ms (1.6%)

Memory
-41.4MiB live, 83.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 #s(literal 1 binary64) y)
00-0-y
00-0-(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
00-0-#s(literal 1 binary64)
00-0-(-.f64 x y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
21.0ms512×0valid
Compiler

Compiled 45 to 22 computations (51.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sub: 5.0ms (52.4% of total)
ival-div: 3.0ms (31.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess70.0ms (1.1%)

Memory
37.2MiB live, 76.4MiB allocated
Algorithm
1×egg-herbie
Rules
288×lower-fma.f64
288×lower-fma.f32
234×div-sub
230×unsub-neg
200×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01643
15138
212536
335635
480035
5126535
6147735
7155535
8161335
9162635
067
097
1177
2247
3397
4727
51397
63187
75447
86977
97137
107147
07147
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify35.0ms (0.5%)

Memory
-10.1MiB live, 28.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(-.f64 x y)
cost-diff0
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Rules
288×lower-fma.f64
288×lower-fma.f32
176×lower-*.f64
176×lower-*.f32
142×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
0916
11716
22416
33916
47216
513916
631816
754416
869716
971316
1071416
071416
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
(-.f64 x y)
x
y
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
(-.f64 x y)
x
y
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)

localize34.0ms (0.5%)

Memory
-10.3MiB live, 31.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 x y)
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0.015625
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Samples
29.0ms256×0valid
Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sub: 17.0ms (88.9% of total)
ival-div: 2.0ms (10.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
4.9MiB live, 4.9MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- x 1) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ y (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (- x y) (taylor 0 x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((/ (- x y) (- 1 y)) (- x y) (- 1 y))
1.0ms
y
@inf
((/ (- x y) (- 1 y)) (- x y) (- 1 y))
0.0ms
x
@inf
((/ (- x y) (- 1 y)) (- x y) (- 1 y))
0.0ms
y
@-inf
((/ (- x y) (- 1 y)) (- x y) (- 1 y))
0.0ms
x
@0
((/ (- x y) (- 1 y)) (- x y) (- 1 y))

simplify178.0ms (2.7%)

Memory
13.5MiB live, 168.3MiB allocated
Algorithm
1×egg-herbie
Rules
13 832×lower-fma.f64
13 832×lower-fma.f32
2 816×lower-*.f64
2 816×lower-*.f32
2 668×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096384
1281358
2787338
32726311
47421311
08109302
Stop Event
1×iter limit
1×node limit
Counts
60 → 56
Calls
Call 1
Inputs
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
1
(+ 1 (* -1 (/ (- x 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (/ y (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(* -1 y)
(- x y)
(- x y)
(- x y)
(/ x (- 1 y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(/ x (- 1 y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
Outputs
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) y x)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y) #s(literal -1 binary64))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (+.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) x) (+.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))))
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- x 1) y)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y) #s(literal -1 binary64))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y))) y)) #s(literal 1 binary64)) y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (/ y (- 1 y)))
(/.f64 y (-.f64 y #s(literal 1 binary64)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x))
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x))
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)

rewrite247.0ms (3.8%)

Memory
11.9MiB live, 246.7MiB allocated
Rules
4 514×lower-*.f64
4 514×lower-*.f32
3 690×lower-fma.f64
3 690×lower-fma.f32
3 320×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
14713
235613
3496713
0935613
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 493
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
(-.f64 x y)
(-.f64 #s(literal 1 binary64) y)
Outputs
(*.f64 (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))))
(*.f64 (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (+.f64 y x)) (/.f64 (-.f64 y x) (-.f64 y #s(literal 1 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (+.f64 y x))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (+.f64 y x)) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) x (*.f64 (-.f64 y #s(literal 1 binary64)) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 y #s(literal 1 binary64)))) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 y #s(literal 1 binary64)))) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 (+.f64 y x) y)))) (-.f64 (*.f64 x x) (*.f64 (+.f64 y x) y)))
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) x)) x (*.f64 (*.f64 (*.f64 (+.f64 y x) y) (*.f64 (+.f64 y x) y)) (*.f64 (+.f64 y x) y)))) (fma.f64 (*.f64 (+.f64 y x) y) (-.f64 (*.f64 (+.f64 y x) y) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (/.f64 (-.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 x y) (neg.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y x) (-.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(*.f64 (/.f64 (-.f64 y x) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 y x) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (+.f64 #s(literal -1 binary64) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 x y) (+.f64 y x)))
(*.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))
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(*.f64 (/.f64 (-.f64 y x) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (-.f64 x y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 x y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 x y))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (-.f64 x y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 x y)))
(*.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (+.f64 y x)) (/.f64 (-.f64 y x) (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (+.f64 y x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y x) (-.f64 y x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (-.f64 x y))
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(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) y)))
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(/.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(/.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
(neg.f64 (-.f64 y #s(literal 1 binary64)))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) (fma.f64 y y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y y y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 y y y) (fma.f64 y y y)) (fma.f64 y y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)))) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) (fma.f64 y y y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y y y))) #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) (fma.f64 y y y)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) (neg.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 y y y) (fma.f64 y y y)) (fma.f64 y y y) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 y y y) (fma.f64 y y y)) (fma.f64 y y y) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))) (fma.f64 y y #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 y #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 y #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 y))
(-.f64 #s(literal 1 binary64) y)
(exp.f64 (neg.f64 (*.f64 (log1p.f64 y) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))))
(+.f64 (neg.f64 y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 y))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))

eval159.0ms (2.4%)

Memory
-11.8MiB live, 146.9MiB allocated
Compiler

Compiled 12 553 to 1 300 computations (89.6% saved)

prune142.0ms (2.2%)

Memory
-17.3MiB live, 259.0MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New5427549
Fresh000
Picked101
Done000
Total5437550
Accuracy
100.0%
Counts
550 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.4%
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
▶49.1%
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x))
▶49.2%
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
▶56.2%
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
▶45.1%
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
52.2%
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)))
▶42.0%
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
Compiler

Compiled 120 to 72 computations (40% saved)

simplify278.0ms (4.3%)

Memory
-3.3MiB live, 172.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y y y)
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)
cost-diff0
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 x (-.f64 #s(literal 1 binary64) y))
cost-diff0
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
cost-diff0
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
cost-diff0
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
cost-diff0
(-.f64 y #s(literal 1 binary64))
cost-diff0
(/.f64 y (-.f64 y #s(literal 1 binary64)))
cost-diff0
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
Rules
7 248×lower-fma.f32
7 242×lower-fma.f64
1 280×lower-+.f64
1 280×lower-+.f32
1 280×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019119
030119
153119
293119
3241119
4498119
51221119
63150119
74401119
84758119
94900119
104996119
115036119
125036119
135036119
145036119
155179119
165212119
05212119
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
(/.f64 y (-.f64 y #s(literal 1 binary64)))
y
(-.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
y
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 y y y)
y
Outputs
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
(/.f64 y (-.f64 y #s(literal 1 binary64)))
y
(-.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
y
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 y y y)
y

localize46.0ms (0.7%)

Memory
7.6MiB live, 127.2MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 y y y)
accuracy0
(-.f64 x #s(literal 1 binary64))
accuracy0.0078125
(fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)
accuracy32.5835544666663
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x))
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0.00390625
(/.f64 x (-.f64 #s(literal 1 binary64) y))
accuracy35.14434067535717
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
accuracy0
(-.f64 x #s(literal 1 binary64))
accuracy0.00390625
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
accuracy32.49465691429064
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
accuracy37.129103619451676
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
accuracy0
(-.f64 y #s(literal 1 binary64))
accuracy0.00390625
(/.f64 y (-.f64 y #s(literal 1 binary64)))
accuracy28.029012316852256
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
Samples
35.0ms256×0valid
Compiler

Compiled 94 to 18 computations (80.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-div: 9.0ms (40.4% of total)
ival-sub: 5.0ms (22.4% of total)
ival-mult: 5.0ms (22.4% of total)
ival-add: 3.0ms (13.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory
1.3MiB live, 40.1MiB allocated
Counts
13 → 252
Calls
Call 1
Inputs
#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())
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#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ())
Outputs
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#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((/ (- x y) (- 1 y)) (/ y (- y 1)) (- y 1) (/ (- x y) (- 1 y)) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (/ (- x y) (- 1 y)) (+ (* (- x 1) (+ (* y y) y)) x) (+ (* y y) y))
3.0ms
x
@-inf
((/ (- x y) (- 1 y)) (/ y (- y 1)) (- y 1) (/ (- x y) (- 1 y)) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (/ (- x y) (- 1 y)) (+ (* (- x 1) (+ (* y y) y)) x) (+ (* y y) y))
2.0ms
y
@inf
((/ (- x y) (- 1 y)) (/ y (- y 1)) (- y 1) (/ (- x y) (- 1 y)) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (/ (- x y) (- 1 y)) (+ (* (- x 1) (+ (* y y) y)) x) (+ (* y y) y))
1.0ms
x
@0
((/ (- x y) (- 1 y)) (/ y (- y 1)) (- y 1) (/ (- x y) (- 1 y)) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (/ (- x y) (- 1 y)) (+ (* (- x 1) (+ (* y y) y)) x) (+ (* y y) y))
1.0ms
y
@-inf
((/ (- x y) (- 1 y)) (/ y (- y 1)) (- y 1) (/ (- x y) (- 1 y)) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (/ (- x y) (- 1 y)) (+ (* (- x 1) (+ (* y y) y)) x) (+ (* y y) y))

simplify190.0ms (2.9%)

Memory
-10.5MiB live, 268.2MiB allocated
Algorithm
1×egg-herbie
Rules
23 640×lower-fma.f64
23 640×lower-fma.f32
3 358×lower-+.f64
3 358×lower-+.f32
3 330×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02002382
16012173
217472052
367022016
081361915
Stop Event
1×iter limit
1×node limit
Counts
252 → 239
Calls
Call 1
Inputs
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(* -1 y)
(* y (- (* -1 y) 1))
(* y (- (* y (- (* -1 y) 1)) 1))
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1))
-1
(- y 1)
(- y 1)
(- y 1)
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
x
(+ x (* y (- x 1)))
(+ x (* y (- x 1)))
(+ x (* y (- x 1)))
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
x
(+ x (* x y))
(+ x (* y (- (* x y) (* -1 x))))
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x))))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
x
(+ x (* y (- x 1)))
(+ x (* y (- (+ x (* y (- x 1))) 1)))
(+ x (* y (- (+ x (* y (- x 1))) 1)))
y
(* y (+ 1 y))
(* y (+ 1 y))
(* y (+ 1 y))
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
1
(+ 1 (/ 1 y))
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(* y (- x 1))
(* y (- (+ x (/ x y)) 1))
(* y (- (+ x (/ x y)) 1))
(* y (- (+ x (/ x y)) 1))
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(* -1 (/ x y))
(/ (+ (* -1 x) (* -1 (/ x y))) y)
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y)
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y)
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(* (pow y 2) (- x 1))
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y))))
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y))))
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y))))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
1
(+ 1 (* -1 (/ (- x 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))
1
(+ 1 (/ 1 y))
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
1
(+ 1 (* -1 (/ (- x 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))
1
(+ 1 (* -1 (/ (- x 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))
(* y (- x 1))
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y)))))
1
(+ 1 (* -1 (/ (- x 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))
(* -1 (/ x y))
(* -1 (/ (+ x (/ x y)) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
1
(+ 1 (* -1 (/ (- x 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))
(* (pow y 2) (- x 1))
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y))))
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1))
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(* -1 (/ y (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(* -1 (/ y (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(* -1 (/ y (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(* -1 y)
(+ (* -1 y) (* x (+ 1 y)))
(+ (* -1 y) (* x (+ 1 y)))
(+ (* -1 y) (* x (+ 1 y)))
-1
(- x 1)
(- x 1)
(- x 1)
(* -1 (/ y (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(* -1 (/ y (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(* -1 (+ y (pow y 2)))
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2)))))
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2)))))
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2)))))
(/ x (- 1 y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(/ x (- 1 y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(/ x (- 1 y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ 1 y))
(* x (+ 1 (+ y (* -1 (/ y x)))))
(* x (+ 1 (+ y (* -1 (/ y x)))))
(* x (+ 1 (+ y (* -1 (/ y x)))))
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(/ x (- 1 y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ 1 (+ y (pow y 2))))
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2)))))
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2)))))
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2)))))
(/ x (- 1 y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(/ x (- 1 y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(/ x (- 1 y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1)))
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1)))
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(/ x (- 1 y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1)))
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1)))
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1)))
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1)))
Outputs
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) y x)
(* -1 y)
(neg.f64 y)
(* y (- (* -1 y) 1))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
(* y (- (* y (- (* -1 y) 1)) 1))
(*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal -1 binary64)) y)
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1))
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal -1 binary64)) y #s(literal -1 binary64)) y)
-1
#s(literal -1 binary64)
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- y 1)
(-.f64 y #s(literal 1 binary64))
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) y x)
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) y x)
x
(+ x (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) y x)
x
(+ x (* x y))
(fma.f64 y x x)
(+ x (* y (- (* x y) (* -1 x))))
(fma.f64 (fma.f64 y y y) x x)
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x))))
(fma.f64 (fma.f64 (fma.f64 y y y) x x) y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) y x)
x
(+ x (* y (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (+ x (* y (- x 1))) 1)))
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x)
(+ x (* y (- (+ x (* y (- x 1))) 1)))
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x)
y
(* y (+ 1 y))
(fma.f64 y y y)
(* y (+ 1 y))
(fma.f64 y y y)
(* y (+ 1 y))
(fma.f64 y y y)
1
#s(literal 1 binary64)
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(-.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) x) y) #s(literal -1 binary64))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) (/.f64 x (*.f64 (*.f64 y y) y))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) y)) x) y)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ 1 y))
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(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
x
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1)))
(fma.f64 (fma.f64 y y y) x x)
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1)))
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) y (fma.f64 y y y)) x x)
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1)))
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) y (fma.f64 y y y)) x x)
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1)))
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) y (fma.f64 y y y)) x x)

rewrite217.0ms (3.3%)

Memory
26.1MiB live, 301.2MiB allocated
Rules
7 264×lower-fma.f32
7 258×lower-fma.f64
4 334×lower-/.f32
4 330×lower-/.f64
4 034×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019104
030104
1140104
21139104
08770104
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 488
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
(/.f64 y (-.f64 y #s(literal 1 binary64)))
(-.f64 y #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(-.f64 x #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)
(fma.f64 y y y)
Outputs
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
(*.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (-.f64 y #s(literal -1 binary64)))
(*.f64 (neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal -1 binary64) (neg.f64 y)))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))))
(*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) y)
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y y)))
(*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y #s(literal 1 binary64))))
(*.f64 y (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))
(pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 y) y) (fma.f64 (neg.f64 y) y y))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) y))
(/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y y) (fma.f64 y y (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) y))
(/.f64 y (-.f64 y #s(literal 1 binary64)))
(neg.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) y))
(fma.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) y (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (fma.f64 y y #s(literal 1 binary64)) (*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) y))
(fma.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (*.f64 y y)))
(fma.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (*.f64 y y) (*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64))))
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 y (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (*.f64 y (/.f64 y (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))))
(fma.f64 (-.f64 y #s(literal -1 binary64)) (/.f64 y (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))))
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal -1 binary64)) (/.f64 y (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 y (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 y (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 0 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (*.f64 y (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))
(+.f64 (*.f64 y (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))
(+.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 y (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (*.f64 y (/.f64 y (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))))
(+.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (/.f64 y (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 y y) (/.f64 y (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (*.f64 (-.f64 y #s(literal -1 binary64)) (/.f64 y (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))))
(+.f64 (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) y))
(+.f64 (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) y) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) y))
(+.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (*.f64 y y)) (*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 y))))
(*.f64 (fma.f64 (neg.f64 y) (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 y))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))) (+.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (-.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 y) (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (neg.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 y) (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 #s(literal -1 binary64) (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (*.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 y)))
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(fma.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
(fma.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
(fma.f64 (*.f64 (*.f64 y y) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
(fma.f64 (*.f64 (fma.f64 y y y) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) x)
(fma.f64 (*.f64 (fma.f64 y y y) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) x)
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 y y y) (fma.f64 y y (neg.f64 y)))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y y)) x)
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 y (-.f64 y (*.f64 y y))))) x)
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64))) y x)
(fma.f64 (*.f64 (*.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64))) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) y (fma.f64 x (neg.f64 y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) y (fma.f64 x (neg.f64 y) y))) x)
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) y) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) y)) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) y) (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) y) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) y) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) y) (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) y) (-.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) y) (*.f64 (-.f64 x #s(literal 1 binary64)) y))))) x)
(fma.f64 (*.f64 (*.f64 (fma.f64 y y y) (fma.f64 y y (neg.f64 y))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y (neg.f64 y)) (-.f64 x #s(literal -1 binary64)))) x)
(fma.f64 (*.f64 (*.f64 (fma.f64 y y y) (fma.f64 y y (neg.f64 y))) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y (neg.f64 y)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 y y) y)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 y (-.f64 y (*.f64 y y)))) (-.f64 x #s(literal -1 binary64)))) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 y (-.f64 y (*.f64 y y)))) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) x)
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) (fma.f64 y y (neg.f64 y)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 y y (neg.f64 y)))) x)
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 y (-.f64 y (*.f64 y y)))))) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) (fma.f64 y y (neg.f64 y)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (fma.f64 y y (neg.f64 y)))) x)
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 y (-.f64 y (*.f64 y y)))))) x)
(fma.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) y) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64))) (fma.f64 y y y)) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y #s(literal -1 binary64)) (fma.f64 x (neg.f64 y) y) x)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) (neg.f64 x)))))
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) y (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
(fma.f64 (*.f64 y y) (-.f64 x #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 y y y) #s(literal 1 binary64)) x)
(fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 y y) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64))))
(fma.f64 y (*.f64 (-.f64 x #s(literal 1 binary64)) y) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
(fma.f64 x #s(literal 1 binary64) (*.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64))) (fma.f64 y y y)) (-.f64 x #s(literal 1 binary64))) (-.f64 x (*.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64))) (fma.f64 y y y)) (-.f64 x #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) (neg.f64 x))))
(+.f64 (+.f64 x (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) y)) (*.f64 (-.f64 x #s(literal 1 binary64)) y))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64))) (fma.f64 y y y)) (-.f64 x #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) (neg.f64 x)))))
(+.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) y) y) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
(+.f64 (*.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64))) x)
(+.f64 x (*.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 y y y) (-.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y y))))
(*.f64 (*.f64 (fma.f64 y y y) (fma.f64 (neg.f64 y) y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) y y)))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 y (-.f64 y (*.f64 y y)))))))
(*.f64 (-.f64 y #s(literal -1 binary64)) y)
(*.f64 (*.f64 (fma.f64 y y y) (fma.f64 y y (neg.f64 y))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y y)))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 (*.f64 (neg.f64 y) y) y)))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 y (-.f64 y (*.f64 y y))))))
(*.f64 #s(literal 1 binary64) (fma.f64 y y y))
(*.f64 y (-.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y y)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 y y (neg.f64 y))) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 y y (neg.f64 y)))) (*.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (/.f64 y (-.f64 y #s(literal 1 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 y y (neg.f64 y))) (/.f64 y (-.f64 y #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 (neg.f64 y) y) y)) (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 y (-.f64 y (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 y y (neg.f64 y))) #s(literal 3 binary64)) (pow.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 y y (neg.f64 y))) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 y y (neg.f64 y))) (fma.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (/.f64 y (-.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 y y (neg.f64 y))) (/.f64 y (-.f64 y #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y y) (-.f64 y (*.f64 y y)))) (neg.f64 (-.f64 y (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y y) (fma.f64 (neg.f64 y) y y))) (neg.f64 (fma.f64 (neg.f64 y) y y)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 y y) y)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 y (-.f64 y (*.f64 y y)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 y y (neg.f64 y))) (*.f64 (fma.f64 y y (neg.f64 y)) (*.f64 y y))) (*.f64 (fma.f64 y y (neg.f64 y)) (fma.f64 y y (neg.f64 y))))
(/.f64 (*.f64 (fma.f64 y y y) (-.f64 y (*.f64 y y))) (-.f64 y (*.f64 y y)))
(/.f64 (*.f64 (fma.f64 y y y) (fma.f64 (neg.f64 y) y y)) (fma.f64 (neg.f64 y) y y))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 y y) y))) (neg.f64 (fma.f64 y y (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 (*.f64 (neg.f64 y) y) y)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 y y) y))) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 y (-.f64 y (*.f64 y y))))))
(/.f64 (*.f64 (fma.f64 y y y) (fma.f64 y y (neg.f64 y))) (fma.f64 y y (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 y y) y)) (fma.f64 y y (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 (*.f64 (neg.f64 y) y) y))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 y (-.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 y y)) (*.f64 (fma.f64 y y y) (-.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 (*.f64 (neg.f64 y) y) y))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 y y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(neg.f64 (/.f64 (*.f64 (fma.f64 y y y) (fma.f64 (neg.f64 y) y y)) (fma.f64 y y (neg.f64 y))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 y y) y))) (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 y (-.f64 y (*.f64 y y))))))
(neg.f64 (/.f64 (*.f64 (fma.f64 y y y) (fma.f64 y y (neg.f64 y))) (fma.f64 (neg.f64 y) y y)))
(neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) (*.f64 (*.f64 y y) y)) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) y) y (*.f64 y (-.f64 y (*.f64 y y)))))))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) (*.f64 y y))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) y)
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 y y))
(fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (neg.f64 y) (neg.f64 y) y)
(fma.f64 (*.f64 y y) #s(literal 1 binary64) y)
(fma.f64 #s(literal 1 binary64) (*.f64 y y) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 y y))
(fma.f64 y #s(literal 1 binary64) (*.f64 y y))
(fma.f64 y y y)
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 y y))) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (-.f64 y (*.f64 y y))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 y y (neg.f64 y))) (/.f64 y (-.f64 y #s(literal 1 binary64))))
(-.f64 (*.f64 y y) (neg.f64 y))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 y y (neg.f64 y))) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 y y) y)
(+.f64 y (*.f64 y y))

eval232.0ms (3.6%)

Memory
2.6MiB live, 199.2MiB allocated
Compiler

Compiled 15 939 to 1 389 computations (91.3% saved)

prune329.0ms (5.1%)

Memory
-10.0MiB live, 229.9MiB allocated
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New7717778
Fresh022
Picked235
Done000
Total77312785
Accuracy
100.0%
Counts
785 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶52.4%
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
48.7%
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
▶49.4%
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
✓56.2%
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
✓45.1%
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
▶12.9%
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))
52.2%
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)))
15.6%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
▶16.5%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
▶35.1%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
35.1%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
✓42.0%
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
Compiler

Compiled 180 to 93 computations (48.3% saved)

simplify80.0ms (1.2%)

Memory
12.8MiB live, 52.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- 1 y) (neg.f64 y))
cost-diff0
(/.f64 x #s(approx (- 1 y) (neg.f64 y)))
cost-diff0
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))
cost-diff0
(fma.f64 y y y)
cost-diff0
(fma.f64 (fma.f64 y y y) x x)
cost-diff0
#s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))
cost-diff0
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
cost-diff0
#s(approx (- x 1) #s(literal -1 binary64))
cost-diff0
(fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)
cost-diff0
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (/ y (- y 1)) (neg.f64 y))
cost-diff0
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- 1 y) (neg.f64 y))
cost-diff0
(-.f64 x y)
cost-diff0
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
Rules
1 568×lower-fma.f32
1 562×lower-fma.f64
728×lower-*.f64
728×lower-*.f32
368×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026163
036163
158163
289163
3174163
4302163
5462163
6862163
71812163
82221163
92479163
102506163
112512163
122513163
02513163
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(-.f64 x y)
x
y
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ y (- y 1)) (neg.f64 y))
(neg.f64 y)
y
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
(fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)
#s(approx (- x 1) #s(literal -1 binary64))
#s(literal -1 binary64)
y
x
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
#s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))
(fma.f64 (fma.f64 y y y) x x)
(fma.f64 y y y)
y
x
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))
(/.f64 x #s(approx (- 1 y) (neg.f64 y)))
x
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
Outputs
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(-.f64 x y)
x
y
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ y (- y 1)) (neg.f64 y))
(neg.f64 y)
y
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
(fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)
#s(approx (- x 1) #s(literal -1 binary64))
#s(literal -1 binary64)
y
x
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
#s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))
(fma.f64 (fma.f64 y y y) x x)
(fma.f64 y y y)
y
x
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))
(/.f64 x #s(approx (- 1 y) (neg.f64 y)))
x
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y

localize260.0ms (4%)

Memory
-31.6MiB live, 135.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 y)
accuracy0.00390625
(/.f64 x #s(approx (- 1 y) (neg.f64 y)))
accuracy30.392073667013804
#s(approx (- 1 y) (neg.f64 y))
accuracy35.14434067535717
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))
accuracy0
(fma.f64 y y y)
accuracy3.3546038267459335
(fma.f64 (fma.f64 y y y) x x)
accuracy32.13453780974875
#s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))
accuracy35.14434067535717
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
accuracy0.00390625
(fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)
accuracy26.889127634736038
#s(approx (- x 1) #s(literal -1 binary64))
accuracy32.49465691429064
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
accuracy0
(neg.f64 y)
accuracy28.029012316852256
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
accuracy32.38423439135555
#s(approx (/ y (- y 1)) (neg.f64 y))
accuracy0
(-.f64 x y)
accuracy0
(neg.f64 y)
accuracy0.015625
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
accuracy30.392073667013804
#s(approx (- 1 y) (neg.f64 y))
Samples
163.0ms256×0valid
Compiler

Compiled 101 to 20 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-div: 43.0ms (54.3% of total)
ival-mult: 27.0ms (34.1% of total)
ival-sub: 5.0ms (6.3% of total)
ival-add: 3.0ms (3.8% of total)
ival-neg: 1.0ms (1.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory
-7.7MiB live, 32.9MiB allocated
Counts
15 → 300
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (- y 1)) (neg.f64 y)) (patch #s(approx (/ y (- y 1)) (neg.f64 y)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())
#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) #<representation binary64>) () ())
#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 y y y) x x) (patch (fma.f64 (fma.f64 y y y) x x) #<representation binary64>) () ())
#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (neg.f64 y)) (patch #s(approx (/ y (- y 1)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 y) 1)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (neg.f64 y)) (patch #s(approx (/ y (- y 1)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (- (* -1 y) 1)) 1)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (neg.f64 y)) (patch #s(approx (/ y (- y 1)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (neg.f64 y)) (patch #s(approx (/ y (- y 1)) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* x y) (* -1 x)))) (taylor 0 y) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) (taylor 0 y) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (fma.f64 y y y) x x) (patch (fma.f64 (fma.f64 y y y) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 y y y) x x) (patch (fma.f64 (fma.f64 y y y) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ x (* x y)))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 y y y) x x) (patch (fma.f64 (fma.f64 y y y) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (+ x (* x y)))) (taylor 0 y) (#s(alt (fma.f64 (fma.f64 y y y) x x) (patch (fma.f64 (fma.f64 y y y) x x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 y)) (taylor 0 y) (#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 y)) (taylor 0 y) (#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 y)) (taylor 0 y) (#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* x y) (* -1 x)))) (taylor 0 y) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) (taylor 0 y) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
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#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ y (pow y 2)))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 y y y) x x) (patch (fma.f64 (fma.f64 y y y) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ y (pow y 2)))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 y y y) x x) (patch (fma.f64 (fma.f64 y y y) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ y (pow y 2)))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 y y y) x x) (patch (fma.f64 (fma.f64 y y y) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (+ y (pow y 2)))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 y y y) x x) (patch (fma.f64 (fma.f64 y y y) x x) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y y y) x x) (patch (fma.f64 (fma.f64 y y y) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y y y) x x) (patch (fma.f64 (fma.f64 y y y) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y y y) x x) (patch (fma.f64 (fma.f64 y y y) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y y y) x x) (patch (fma.f64 (fma.f64 y y y) x x) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((/ (- x y) (- 1 y)) (- x y) (- 1 y) (neg y) (/ (- x y) (- 1 y)) (/ y (- y 1)) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* (+ (* y y) y) x) x) (+ (* y y) y) (/ (- x y) (- 1 y)) (/ x (- 1 y)))
2.0ms
x
@inf
((/ (- x y) (- 1 y)) (- x y) (- 1 y) (neg y) (/ (- x y) (- 1 y)) (/ y (- y 1)) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* (+ (* y y) y) x) x) (+ (* y y) y) (/ (- x y) (- 1 y)) (/ x (- 1 y)))
1.0ms
x
@0
((/ (- x y) (- 1 y)) (- x y) (- 1 y) (neg y) (/ (- x y) (- 1 y)) (/ y (- y 1)) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* (+ (* y y) y) x) x) (+ (* y y) y) (/ (- x y) (- 1 y)) (/ x (- 1 y)))
1.0ms
y
@-inf
((/ (- x y) (- 1 y)) (- x y) (- 1 y) (neg y) (/ (- x y) (- 1 y)) (/ y (- y 1)) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* (+ (* y y) y) x) x) (+ (* y y) y) (/ (- x y) (- 1 y)) (/ x (- 1 y)))
1.0ms
y
@inf
((/ (- x y) (- 1 y)) (- x y) (- 1 y) (neg y) (/ (- x y) (- 1 y)) (/ y (- y 1)) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* (+ (* y y) y) x) x) (+ (* y y) y) (/ (- x y) (- 1 y)) (/ x (- 1 y)))

simplify230.0ms (3.5%)

Memory
23.4MiB live, 216.0MiB allocated
Algorithm
1×egg-herbie
Rules
17 348×lower-fma.f64
17 348×lower-fma.f32
2 936×lower-*.f64
2 936×lower-*.f32
2 366×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01922499
15882285
215902181
352812151
082812048
Stop Event
1×iter limit
1×node limit
Counts
300 → 285
Calls
Call 1
Inputs
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(* -1 y)
(* y (- (* -1 y) 1))
(* y (- (* y (- (* -1 y) 1)) 1))
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1))
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
x
(+ x (* y (- x 1)))
(+ x (* y (- x 1)))
(+ x (* y (- x 1)))
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
x
(+ x (* x y))
(+ x (* y (- (* x y) (* -1 x))))
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x))))
x
(+ x (* x y))
(+ x (* y (+ x (* x y))))
(+ x (* y (+ x (* x y))))
y
(* y (+ 1 y))
(* y (+ 1 y))
(* y (+ 1 y))
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
x
(+ x (* x y))
(+ x (* y (- (* x y) (* -1 x))))
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x))))
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(* -1 y)
(* y (- (/ x y) 1))
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(-.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (/.f64 x (-.f64 y #s(literal 1 binary64))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (/.f64 x (-.f64 y #s(literal 1 binary64))))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))

rewrite243.0ms (3.7%)

Memory
3.9MiB live, 325.2MiB allocated
Rules
6 780×lower-fma.f32
6 774×lower-fma.f64
4 228×lower-/.f32
4 224×lower-/.f64
3 726×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026143
036143
1155143
21185143
08675143
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 388
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(-.f64 x y)
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ y (- y 1)) (neg.f64 y))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
(fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)
#s(approx (- x 1) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
#s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))
(fma.f64 (fma.f64 y y y) x x)
(fma.f64 y y y)
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))
(/.f64 x #s(approx (- 1 y) (neg.f64 y)))
Outputs
(*.f64 (pow.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) (-.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) (-.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 y x) #s(approx (- 1 y) (neg.f64 y))) (/.f64 (-.f64 x y) (+.f64 y x)))
(*.f64 (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(approx (- 1 y) (neg.f64 y))) (/.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 (pow.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(*.f64 (/.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(*.f64 (*.f64 (+.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y)))) (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y))))))
(*.f64 (-.f64 (*.f64 (*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (*.f64 (*.f64 (/.f64 y #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y)))) (/.f64 y #s(approx (- 1 y) (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (fma.f64 (/.f64 y #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y))) (*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y))))))))
(*.f64 (fma.f64 (neg.f64 x) #s(approx (- 1 y) (neg.f64 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 #s(approx (- 1 y) (neg.f64 y))) #s(approx (- 1 y) (neg.f64 y)))))
(*.f64 (-.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) x) y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(approx (- 1 y) (neg.f64 y)))))
(*.f64 (-.f64 (*.f64 x #s(approx (- 1 y) (neg.f64 y))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1 y) (neg.f64 y)) #s(approx (- 1 y) (neg.f64 y)))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) #s(approx (- 1 y) (neg.f64 y)))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (+.f64 y x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 y) (neg.f64 y))) (-.f64 x y))
(*.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(approx (- 1 y) (neg.f64 y)))))
(*.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(*.f64 (+.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) #s(approx (- 1 y) (neg.f64 y))))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 x) y) #s(approx (- 1 y) (neg.f64 y))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))))
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) #s(approx (- 1 y) (neg.f64 y))))
(pow.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) (-.f64 x y)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (*.f64 (/.f64 (neg.f64 y) #s(approx (- 1 y) (neg.f64 y))) (/.f64 (neg.f64 y) #s(approx (- 1 y) (neg.f64 y))))) (-.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 (neg.f64 y) #s(approx (- 1 y) (neg.f64 y)))))
(/.f64 (fma.f64 (*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (pow.f64 (/.f64 (neg.f64 y) #s(approx (- 1 y) (neg.f64 y))) #s(literal 3 binary64))) (fma.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (-.f64 (*.f64 (/.f64 (neg.f64 y) #s(approx (- 1 y) (neg.f64 y))) (/.f64 (neg.f64 y) #s(approx (- 1 y) (neg.f64 y)))) (*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 (neg.f64 y) #s(approx (- 1 y) (neg.f64 y)))))))
(/.f64 (neg.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(approx (- 1 y) (neg.f64 y)))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)) #s(approx (- 1 y) (neg.f64 y)))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y)))) (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))))) (neg.f64 (+.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (*.f64 (*.f64 (/.f64 y #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y)))) (/.f64 y #s(approx (- 1 y) (neg.f64 y)))))) (neg.f64 (fma.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (fma.f64 (/.f64 y #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y))) (*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y))))))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) #s(approx (- 1 y) (neg.f64 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) (neg.f64 (*.f64 (neg.f64 #s(approx (- 1 y) (neg.f64 y))) #s(approx (- 1 y) (neg.f64 y)))))
(/.f64 (neg.f64 (-.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) x) y))) (neg.f64 (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(approx (- 1 y) (neg.f64 y)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x #s(approx (- 1 y) (neg.f64 y))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))) (*.f64 (neg.f64 #s(approx (- 1 y) (neg.f64 y))) #s(approx (- 1 y) (neg.f64 y))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 #s(approx (- 1 y) (neg.f64 y)))) (*.f64 (neg.f64 #s(approx (- 1 y) (neg.f64 y))) (neg.f64 y))) (*.f64 (neg.f64 #s(approx (- 1 y) (neg.f64 y))) (neg.f64 #s(approx (- 1 y) (neg.f64 y)))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (/.f64 #s(approx (- 1 y) (neg.f64 y)) y)) (*.f64 (neg.f64 #s(approx (- 1 y) (neg.f64 y))) #s(literal 1 binary64))) (*.f64 (neg.f64 #s(approx (- 1 y) (neg.f64 y))) (/.f64 #s(approx (- 1 y) (neg.f64 y)) y)))
(/.f64 (-.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) (neg.f64 x)) (neg.f64 y))) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) (neg.f64 x)) (neg.f64 #s(approx (- 1 y) (neg.f64 y)))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- 1 y) (neg.f64 y)) y)) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) (neg.f64 x)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) (neg.f64 x)) (/.f64 #s(approx (- 1 y) (neg.f64 y)) y)))
(/.f64 (-.f64 (neg.f64 #s(approx (- 1 y) (neg.f64 y))) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) (neg.f64 x)) y)) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) (neg.f64 x)) #s(approx (- 1 y) (neg.f64 y))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- 1 y) (neg.f64 y)))) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) x) (neg.f64 y))) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) x) (neg.f64 #s(approx (- 1 y) (neg.f64 y)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 y) (neg.f64 y)) y)) (/.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) x) (/.f64 #s(approx (- 1 y) (neg.f64 y)) y)))
(/.f64 (-.f64 (*.f64 x (neg.f64 #s(approx (- 1 y) (neg.f64 y)))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (neg.f64 y))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (neg.f64 #s(approx (- 1 y) (neg.f64 y)))))
(/.f64 (-.f64 (*.f64 x (/.f64 #s(approx (- 1 y) (neg.f64 y)) y)) #s(approx (- 1 y) (neg.f64 y))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 #s(approx (- 1 y) (neg.f64 y)) y)))
(/.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) (+.f64 y x))
(/.f64 (/.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(/.f64 (*.f64 (+.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y)))) (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))) (+.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y)))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (*.f64 (*.f64 (/.f64 y #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y)))) (/.f64 y #s(approx (- 1 y) (neg.f64 y))))) (fma.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (fma.f64 (/.f64 y #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y))) (*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y)))))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (*.f64 (+.f64 y x) #s(approx (- 1 y) (neg.f64 y)))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (+.f64 y x))))
(/.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (+.f64 (neg.f64 x) y)) (neg.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(approx (- 1 y) (neg.f64 y)))))
(/.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (+.f64 (neg.f64 x) y)) (neg.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(/.f64 (fma.f64 (neg.f64 x) #s(approx (- 1 y) (neg.f64 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)) (*.f64 (neg.f64 #s(approx (- 1 y) (neg.f64 y))) #s(approx (- 1 y) (neg.f64 y))))
(/.f64 (-.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) x) y)) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(approx (- 1 y) (neg.f64 y))))
(/.f64 (-.f64 (*.f64 x #s(approx (- 1 y) (neg.f64 y))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) #s(approx (- 1 y) (neg.f64 y))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (+.f64 y x)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (+.f64 y x) #s(approx (- 1 y) (neg.f64 y))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 y) (neg.f64 y))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(approx (- 1 y) (neg.f64 y))))
(/.f64 (+.f64 (neg.f64 x) y) (neg.f64 #s(approx (- 1 y) (neg.f64 y))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- 1 y) (neg.f64 y)) (+.f64 (neg.f64 x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) #s(approx (- 1 y) (neg.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (/.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)) #s(approx (- 1 y) (neg.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y)))) (*.f64 (+.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y)))) (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (fma.f64 (/.f64 y #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y))) (*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y)))))) (-.f64 (*.f64 (*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (*.f64 (*.f64 (/.f64 y #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y)))) (/.f64 y #s(approx (- 1 y) (neg.f64 y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y x) #s(approx (- 1 y) (neg.f64 y))) (*.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) #s(approx (- 1 y) (neg.f64 y))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 #s(approx (- 1 y) (neg.f64 y))) #s(approx (- 1 y) (neg.f64 y))) (fma.f64 (neg.f64 x) #s(approx (- 1 y) (neg.f64 y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(approx (- 1 y) (neg.f64 y))) (-.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 (/.f64 #s(approx (- 1 y) (neg.f64 y)) x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) #s(approx (- 1 y) (neg.f64 y))) (-.f64 (*.f64 x #s(approx (- 1 y) (neg.f64 y))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (+.f64 y x)) (*.f64 (+.f64 y x) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 y) (neg.f64 y)) (-.f64 x y)))
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- 1 y) (neg.f64 y)) (-.f64 x y))))
(neg.f64 (+.f64 (/.f64 (neg.f64 x) #s(approx (- 1 y) (neg.f64 y))) (/.f64 y #s(approx (- 1 y) (neg.f64 y)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (neg.f64 x) y) #s(approx (- 1 y) (neg.f64 y)))))
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eval89.0ms (1.4%)

Memory
3.2MiB live, 277.0MiB allocated
Compiler

Compiled 12 190 to 1 018 computations (91.6% saved)

prune78.0ms (1.2%)

Memory
-11.9MiB live, 228.4MiB allocated
Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New7540754
Fresh044
Picked055
Done033
Total75412766
Accuracy
100.0%
Counts
766 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓52.4%
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
▶48.7%
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
✓49.4%
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
✓56.2%
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
✓45.1%
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
✓12.9%
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))
▶52.2%
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)))
▶15.6%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
✓16.5%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
✓35.1%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
▶35.1%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
✓42.0%
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
Compiler

Compiled 100 to 53 computations (47% saved)

simplify88.0ms (1.3%)

Memory
-3.8MiB live, 86.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y y y)
cost-diff0
#s(approx (- x 1) #s(literal -1 binary64))
cost-diff0
(fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)
cost-diff0
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
cost-diff0
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))
cost-diff0
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)))
cost-diff0
(-.f64 #s(literal -1 binary64) y)
cost-diff0
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
cost-diff0
#s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))
cost-diff0
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
cost-diff0
(fma.f64 y x x)
cost-diff0
#s(approx (/ x (- 1 y)) (fma.f64 y x x))
cost-diff0
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
Rules
1 568×lower-fma.f32
1 562×lower-fma.f64
696×lower-*.f32
694×lower-*.f64
384×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026150
037150
170150
2114150
3188150
4290150
5545150
61039150
71664150
82056150
92706150
102727150
112727150
02727150
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
#s(approx (/ x (- 1 y)) (fma.f64 y x x))
(fma.f64 y x x)
y
x
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
#s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
(-.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(literal -1 binary64)
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
(fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)
#s(approx (- x 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 y y y)
y
x
Outputs
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
#s(approx (/ x (- 1 y)) (fma.f64 y x x))
(fma.f64 y x x)
y
x
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
#s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
(-.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(literal -1 binary64)
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (fma.f64 y y y) #s(approx (- x 1) #s(literal -1 binary64)) x))
(fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)
(fma.f64 (fma.f64 y y y) #s(approx (- x 1) #s(literal -1 binary64)) x)
#s(approx (- x 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 y y y)
y
x

localize54.0ms (0.8%)

Memory
9.3MiB live, 125.1MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 y y y)
accuracy0.0078125
(fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)
accuracy26.889127634736038
#s(approx (- x 1) #s(literal -1 binary64))
accuracy32.5835544666663
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
accuracy0
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0.01171875
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy30.61370579881043
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)))
accuracy0
(-.f64 #s(literal -1 binary64) y)
accuracy0.01171875
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
accuracy28.029012316852256
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
accuracy32.89540063528057
#s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))
accuracy0
(fma.f64 y x x)
accuracy32.456228199539446
#s(approx (/ x (- 1 y)) (fma.f64 y x x))
accuracy35.14434067535717
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
Samples
38.0ms256×0valid
Compiler

Compiled 98 to 24 computations (75.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-sub: 8.0ms (31.1% of total)
ival-div: 7.0ms (27.2% of total)
ival-mult: 6.0ms (23.4% of total)
ival-add: 3.0ms (11.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory
4.2MiB live, 45.0MiB allocated
Counts
15 → 288
Calls
Call 1
Inputs
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #<representation binary64>) () ())
#s(alt #s(approx (/ x (- 1 y)) (fma.f64 y x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 y x x)) #<representation binary64>) () ())
#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())
#s(alt #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (patch #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) y) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1 binary64) y) (patch (-.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())
#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 y x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 y x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* x y) (* -1 x)))) (taylor 0 y) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 y x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) (taylor 0 y) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 y x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 y x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (patch #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 y) 1)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (patch #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (- (* -1 y) 1)) 1)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (patch #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (patch #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) y) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 y) 1)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) y) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 y) 1)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) y) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (* -1 y) 1)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) y) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 y) (#s(alt (-.f64 #s(literal -1 binary64) y) (patch (-.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (- (* -1 y) 1) (taylor 0 y) (#s(alt (-.f64 #s(literal -1 binary64) y) (patch (-.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (- (* -1 y) 1) (taylor 0 y) (#s(alt (-.f64 #s(literal -1 binary64) y) (patch (-.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (- (* -1 y) 1) (taylor 0 y) (#s(alt (-.f64 #s(literal -1 binary64) y) (patch (-.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 x) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 y) x) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 y) x) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 y) x) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 x) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 x) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 x) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 x) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* y x) x) (/ (- x y) (- 1 y)) (/ y (- y 1)) (* (- -1 y) y) (- -1 y) (/ (- x y) (- 1 y)) (- (/ (- 1 x) y) -1) (/ (- 1 x) y) (- 1 x) (/ (- x y) (- 1 y)) (+ (* (- x 1) (+ (* y y) y)) x) (- x 1) (+ (* y y) y))
2.0ms
x
@inf
((/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* y x) x) (/ (- x y) (- 1 y)) (/ y (- y 1)) (* (- -1 y) y) (- -1 y) (/ (- x y) (- 1 y)) (- (/ (- 1 x) y) -1) (/ (- 1 x) y) (- 1 x) (/ (- x y) (- 1 y)) (+ (* (- x 1) (+ (* y y) y)) x) (- x 1) (+ (* y y) y))
1.0ms
y
@-inf
((/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* y x) x) (/ (- x y) (- 1 y)) (/ y (- y 1)) (* (- -1 y) y) (- -1 y) (/ (- x y) (- 1 y)) (- (/ (- 1 x) y) -1) (/ (- 1 x) y) (- 1 x) (/ (- x y) (- 1 y)) (+ (* (- x 1) (+ (* y y) y)) x) (- x 1) (+ (* y y) y))
1.0ms
x
@0
((/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* y x) x) (/ (- x y) (- 1 y)) (/ y (- y 1)) (* (- -1 y) y) (- -1 y) (/ (- x y) (- 1 y)) (- (/ (- 1 x) y) -1) (/ (- 1 x) y) (- 1 x) (/ (- x y) (- 1 y)) (+ (* (- x 1) (+ (* y y) y)) x) (- x 1) (+ (* y y) y))
1.0ms
y
@0
((/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* y x) x) (/ (- x y) (- 1 y)) (/ y (- y 1)) (* (- -1 y) y) (- -1 y) (/ (- x y) (- 1 y)) (- (/ (- 1 x) y) -1) (/ (- 1 x) y) (- 1 x) (/ (- x y) (- 1 y)) (+ (* (- x 1) (+ (* y y) y)) x) (- x 1) (+ (* y y) y))

simplify237.0ms (3.6%)

Memory
-16.4MiB live, 334.8MiB allocated
Algorithm
1×egg-herbie
Rules
31 294×lower-fma.f64
31 294×lower-fma.f32
4 100×lower-*.f64
4 100×lower-*.f32
3 986×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02042356
16252220
218072059
376172056
084111953
Stop Event
1×iter limit
1×node limit
Counts
288 → 278
Calls
Call 1
Inputs
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
x
(+ x (* x y))
(+ x (* y (- (* x y) (* -1 x))))
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x))))
x
(+ x (* x y))
(+ x (* x y))
(+ x (* x y))
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(* -1 y)
(* y (- (* -1 y) 1))
(* y (- (* y (- (* -1 y) 1)) 1))
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1))
(* -1 y)
(* y (- (* -1 y) 1))
(* y (- (* -1 y) 1))
(* y (- (* -1 y) 1))
-1
(- (* -1 y) 1)
(- (* -1 y) 1)
(- (* -1 y) 1)
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(/ (- 1 x) y)
(/ (- (+ 1 y) x) y)
(/ (- (+ 1 y) x) y)
(/ (- (+ 1 y) x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
x
(+ x (* y (- x 1)))
(+ x (* y (- (+ x (* y (- x 1))) 1)))
(+ x (* y (- (+ x (* y (- x 1))) 1)))
y
(* y (+ 1 y))
(* y (+ 1 y))
(* y (+ 1 y))
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(* -1 (/ x y))
(/ (+ (* -1 x) (* -1 (/ x y))) y)
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y)
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y)
(* x y)
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
1
(+ 1 (/ 1 y))
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3)))))
(* -1 (pow y 2))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 y)
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (* y (+ 1 (/ 1 y))))
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
1
(- (+ 1 (/ 1 y)) (/ x y))
(- (+ 1 (/ 1 y)) (/ x y))
(- (+ 1 (/ 1 y)) (/ x y))
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
1
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2))))))
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2))))
(* (pow y 2) (- x 1))
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y))))
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y))))
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y))))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
1
(+ 1 (* -1 (/ (- x 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))
(* -1 (/ x y))
(* -1 (/ (+ x (/ x y)) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
1
(+ 1 (* -1 (/ (- x 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))
1
(+ 1 (/ 1 y))
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)))
(* -1 (pow y 2))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 (* (pow y 2) (+ 1 (/ 1 y))))
(* -1 y)
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (* y (+ 1 (/ 1 y))))
1
(+ 1 (* -1 (/ (- x 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))
1
(- (+ 1 (/ 1 y)) (/ x y))
(- (+ 1 (/ 1 y)) (/ x y))
(- (+ 1 (/ 1 y)) (/ x y))
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
(/ (- 1 x) y)
1
(+ 1 (* -1 (/ (- x 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y)))
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y)))
(* (pow y 2) (- x 1))
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y))))
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1))
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(* -1 (/ y (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* -1 (/ y (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(* -1 (/ y (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ 1 (/ 1 y))
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(+ 1 (+ (* -1 (/ x y)) (/ 1 y)))
(/ 1 y)
(+ (* -1 (/ x y)) (/ 1 y))
(+ (* -1 (/ x y)) (/ 1 y))
(+ (* -1 (/ x y)) (/ 1 y))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 (/ y (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y)))
(* -1 (+ y (pow y 2)))
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2)))))
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2)))))
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2)))))
-1
(- x 1)
(- x 1)
(- x 1)
(/ x (- 1 y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(/ x (- 1 y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(/ x (- 1 y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* -1 (/ x y))
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y)))
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y)))
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y)))
(* -1 (/ x y))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(* x (- (/ 1 (* x y)) (/ 1 y)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(/ x (- 1 y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(* x (+ 1 (+ y (pow y 2))))
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2)))))
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2)))))
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2)))))
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(/ x (- 1 y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (* -1 y) 1)))
(/ x (- 1 y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(/ x (- 1 y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (/ x y))
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(/ x (- 1 y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1)))
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1)))
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1)))
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
Outputs
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) y x)
x
(+ x (* x y))
(fma.f64 y x x)
(+ x (* y (- (* x y) (* -1 x))))
(fma.f64 (fma.f64 y y y) x x)
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x))))
(fma.f64 (fma.f64 (fma.f64 y y y) x x) y x)
x
(+ x (* x y))
(fma.f64 y x x)
(+ x (* x y))
(fma.f64 y x x)
(+ x (* x y))
(fma.f64 y x x)
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) y x)
(* -1 y)
(neg.f64 y)
(* y (- (* -1 y) 1))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
(* y (- (* y (- (* -1 y) 1)) 1))
(*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal -1 binary64)) y)
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1))
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal -1 binary64)) y #s(literal -1 binary64)) y)
(* -1 y)
(neg.f64 y)
(* y (- (* -1 y) 1))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
(* y (- (* -1 y) 1))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
(* y (- (* -1 y) 1))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
-1
#s(literal -1 binary64)
(- (* -1 y) 1)
(-.f64 #s(literal -1 binary64) y)
(- (* -1 y) 1)
(-.f64 #s(literal -1 binary64) y)
(- (* -1 y) 1)
(-.f64 #s(literal -1 binary64) y)
x
(+ x (* -1 (* y (+ 1 (* -1 x)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x)
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x)))))
(fma.f64 (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) y x)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- (+ 1 y) x) y)
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y)
(/ (- (+ 1 y) x) y)
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y)
(/ (- (+ 1 y) x) y)
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(/ (- 1 x) y)
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
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(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (+ 1 (+ y (pow y 2))))
(fma.f64 (fma.f64 y y y) x x)
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2)))))
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) y (fma.f64 y y y)) x x)
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2)))))
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) y (fma.f64 y y y)) x x)
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2)))))
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) y (fma.f64 y y y)) x x)
x
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))))
(neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64) (/.f64 x y)))
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))))
(neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64) (/.f64 x y)))
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))))
(neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64) (/.f64 x y)))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y)))))
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1)))
(fma.f64 (fma.f64 y y y) x x)
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1)))
(fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) y (/.f64 (fma.f64 y y y) x)) (neg.f64 x) x)
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1)))
(fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) y (/.f64 (fma.f64 y y y) x)) (neg.f64 x) x)
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1)))
(fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) y (/.f64 (fma.f64 y y y) x)) (neg.f64 x) x)
x
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))

rewrite203.0ms (3.1%)

Memory
25.2MiB live, 306.7MiB allocated
Rules
5 472×lower-fma.f32
5 466×lower-fma.f64
4 898×lower-/.f32
4 896×lower-/.f64
3 608×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026139
037139
1188139
21525139
08299139
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 415
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
#s(approx (/ x (- 1 y)) (fma.f64 y x x))
(fma.f64 y x x)
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
#s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
(-.f64 #s(literal -1 binary64) y)
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
(fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)
#s(approx (- x 1) #s(literal -1 binary64))
(fma.f64 y y y)
Outputs
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
#s(approx (/ x (- 1 y)) (fma.f64 y x x))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y x) y) x)) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y x))))
(*.f64 (neg.f64 (*.f64 (fma.f64 y x x) (fma.f64 y x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y x (neg.f64 x)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 x (-.f64 x (*.f64 y x)))))))
(*.f64 (-.f64 y #s(literal -1 binary64)) x)
(*.f64 (*.f64 (fma.f64 y x x) (fma.f64 y x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 x))))
(*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (*.f64 y x) x)))))
(*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 x (-.f64 x (*.f64 y x))))))
(*.f64 #s(literal 1 binary64) (fma.f64 y x x))
(*.f64 x (-.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (fma.f64 y x (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (fma.f64 y x (neg.f64 x))) (/.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (fma.f64 y x (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (fma.f64 y x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y x) y) x))) (neg.f64 (-.f64 x (*.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 y x x) (fma.f64 y x (neg.f64 x))))) (neg.f64 (neg.f64 (fma.f64 y x (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 x (-.f64 x (*.f64 y x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (fma.f64 y x (neg.f64 x))) (*.f64 (fma.f64 y x (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 y x (neg.f64 x)) (fma.f64 y x (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y x) y) x)) (-.f64 x (*.f64 y x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 y x x) (fma.f64 y x (neg.f64 x)))) (neg.f64 (fma.f64 y x (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (*.f64 y x) x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)))) (neg.f64 (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 x (-.f64 x (*.f64 y x))))))
(/.f64 (*.f64 (fma.f64 y x x) (fma.f64 y x (neg.f64 x))) (fma.f64 y x (neg.f64 x)))
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (*.f64 y x) x))))
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y))) (fma.f64 (*.f64 (*.f64 y x) y) x (*.f64 x (-.f64 x (*.f64 y x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y x) y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (*.f64 (*.f64 y x) x))) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 y y) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)))
(fma.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x)))))
(fma.f64 #s(literal 1 binary64) x (*.f64 y x))
(fma.f64 y x x)
(fma.f64 x #s(literal 1 binary64) (*.f64 y x))
(fma.f64 x y x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y x))) (/.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (-.f64 x (*.f64 y x))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (fma.f64 y x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) y) x) (fma.f64 y x (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x)))))
(+.f64 (*.f64 y x) x)
(+.f64 x (*.f64 y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
#s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) y) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 y (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) y) y)
(*.f64 y (-.f64 #s(literal -1 binary64) y))
(/.f64 (fma.f64 (neg.f64 y) (*.f64 y y) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y)) (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)))))
(/.f64 (fma.f64 (neg.f64 y) (*.f64 y y) (pow.f64 (*.f64 y (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (*.f64 y (neg.f64 y)) (*.f64 y (neg.f64 y))) (*.f64 (neg.f64 y) (*.f64 y (neg.f64 y))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) y)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y)) y)) (neg.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y)))) (neg.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) y) (-.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y)) y) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 y (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y)))))
(/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)))
(fma.f64 #s(literal -1 binary64) y (*.f64 (neg.f64 y) y))
(fma.f64 #s(literal -1 binary64) y (*.f64 y (neg.f64 y)))
(fma.f64 y #s(literal -1 binary64) (*.f64 (neg.f64 y) y))
(fma.f64 y #s(literal -1 binary64) (*.f64 y (neg.f64 y)))
(+.f64 (neg.f64 y) (*.f64 (neg.f64 y) y))
(+.f64 (neg.f64 y) (*.f64 y (neg.f64 y)))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal -1 binary64) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal -1 binary64) (neg.f64 y))))))
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eval90.0ms (1.4%)

Memory
16.3MiB live, 170.8MiB allocated
Compiler

Compiled 12 564 to 1 278 computations (89.8% saved)

prune167.0ms (2.6%)

Memory
-15.1MiB live, 143.1MiB allocated
Pruning

13 alts after pruning (3 fresh and 10 done)

PrunedKeptTotal
New6903693
Fresh000
Picked134
Done178
Total69213705
Accuracy
100.0%
Counts
705 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓48.7%
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
✓49.4%
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
✓56.2%
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
✓45.1%
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
✓12.9%
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))
52.4%
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)))
✓15.6%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
2.5%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)))
✓16.5%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
✓35.1%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
✓35.1%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
3.5%
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x))))
✓42.0%
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
Compiler

Compiled 231 to 85 computations (63.2% saved)

regimes22.0ms (0.3%)

Memory
-5.8MiB live, 31.6MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)))
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Calls

3 calls:

10.0ms
x
6.0ms
y
5.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes20.0ms (0.3%)

Memory
10.2MiB live, 47.5MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)))
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)))
Outputs
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)))
Calls

3 calls:

8.0ms
y
6.0ms
x
5.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
76.4%3x
99.3%3y
99.3%4(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)))
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
Outputs
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)))
Calls

1 calls:

5.0ms
y
Results
AccuracySegmentsBranch
99.1%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.2%)

Memory
-12.7MiB live, 25.5MiB allocated
Counts
14 → 4
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x))
Outputs
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64))))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
Calls

2 calls:

7.0ms
y
4.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
98.6%4(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
89.5%3y
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated
Counts
12 → 4
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
Outputs
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
Calls

1 calls:

4.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
98.1%4(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes29.0ms (0.4%)

Memory
-17.6MiB live, 38.6MiB allocated
Counts
11 → 4
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))
Outputs
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
Calls

2 calls:

20.0ms
y
8.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
88.3%3y
90.6%4(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
Outputs
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x))
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
Calls

1 calls:

3.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
88.7%3(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes27.0ms (0.4%)

Memory
-28.3MiB live, 10.1MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
Outputs
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))
Calls

2 calls:

23.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
3.0ms
y
Results
AccuracySegmentsBranch
88.1%3y
88.2%3(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
Outputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
Calls

2 calls:

3.0ms
y
3.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
88.1%3y
88.0%3(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
Outputs
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x))
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
Calls

2 calls:

3.0ms
y
3.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
88.0%3(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
87.9%3y
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated
Counts
4 → 4
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x))))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
Outputs
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
52.2%3x
74.0%3y
76.5%4(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes12.0ms (0.2%)

Memory
-31.7MiB live, 6.9MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x))))
Outputs
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y)))
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
Calls

2 calls:

2.0ms
y
2.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
55.0%3y
55.3%2(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
Outputs
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
Calls

3 calls:

1.0ms
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
42.0%1x
42.0%1y
42.0%1(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch29.0ms (0.4%)

Memory
10.7MiB live, 47.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.5254353196843972
3855721868811726.5
12.0ms
-6479.980161676298
-2.0183248714045442e-7
Samples
15.0ms320×0valid
Compiler

Compiled 492 to 301 computations (38.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 6.0ms (65.3% of total)
ival-div: 2.0ms (21.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch5.0ms (0.1%)

Memory
13.3MiB live, 13.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.5254353196843972
3855721868811726.5
4.0ms
-6479.980161676298
-2.0183248714045442e-7
Samples
2.0ms48×0valid
Compiler

Compiled 492 to 291 computations (40.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.0MiB live, 0.9MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.0000000894316485
1128.49103620736
0.0ms
1.7246720895162747e-10
5.9389265292237906e-8
0.0ms
-156161437070.9062
-1.1071943224577174
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.0000000894316485
1128.49103620736
0.0ms
2.0183244640410976e-7
0.9998457023513336
0.0ms
-156161437070.9062
-1.1071943224577174
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
4.648430502550005e+92
4.4551781032636964e+114
0.0ms
1.0000000894316485
1128.49103620736
0.0ms
2.0183244640410976e-7
0.9998457023513336
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.541128854718319e+21
7.49693444439253e+31
0.0ms
2.0183244640410976e-7
0.9998457023513336
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.541128854718319e+21
7.49693444439253e+31
0.0ms
2.0183244640410976e-7
0.9998457023513336
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch2.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.5254353196843972
3855721868811726.5
1.0ms
-6479.980161676298
-2.0183248714045442e-7
Compiler

Compiled 312 to 211 computations (32.4% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.541128854718319e+21
7.49693444439253e+31
0.0ms
2.0183244640410976e-7
0.9998457023513336
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch4.0ms (0.1%)

Memory
-41.1MiB live, 1.0MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
4.0ms
2.541128854718319e+21
7.49693444439253e+31
0.0ms
2.0183244640410976e-7
0.9998457023513336
0.0ms
-1.0689192586082878e-86
-1.6314199826669124e-90
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.0183244640410976e-7
0.9998457023513336
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify12.0ms (0.2%)

Memory
31.9MiB live, 31.9MiB allocated
Algorithm
1×egg-herbie
Rules
24×+-commutative_binary64
22×sub-neg_binary64
8×neg-sub0_binary64
8×neg-mul-1_binary64
6×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093766
1109766
2124766
3134766
4135766
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -1823957849085051/2251799813685248 binary64)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -100000000000 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 7737125245533627/38685626227668133590597632 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -100000000000 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 944473296573929/2361183241434822606848 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 944473296573929/2361183241434822606848 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 500000000000000021688648487309593036645146662475969655895886894668058406444840555470661877760 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 944473296573929/2361183241434822606848 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5000000000000000000000 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 944473296573929/2361183241434822606848 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5000000000000000000000 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 944473296573929/2361183241434822606848 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5000000000000000000000 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -5599361855444511/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 944473296573929/2361183241434822606848 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5000000000000000000000 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 944473296573929/2361183241434822606848 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))
Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -1823957849085051/2251799813685248 binary64)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -100000000000 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 7737125245533627/38685626227668133590597632 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -100000000000 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 944473296573929/2361183241434822606848 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 944473296573929/2361183241434822606848 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 500000000000000021688648487309593036645146662475969655895886894668058406444840555470661877760 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 944473296573929/2361183241434822606848 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5000000000000000000000 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 944473296573929/2361183241434822606848 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5000000000000000000000 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 944473296573929/2361183241434822606848 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5000000000000000000000 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -5599361855444511/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 944473296573929/2361183241434822606848 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5000000000000000000000 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 944473296573929/2361183241434822606848 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))

soundness1.3s (20%)

Memory
-14.0MiB live, 688.3MiB allocated
Rules
31 294×lower-fma.f64
31 294×lower-fma.f32
23 640×lower-fma.f64
23 640×lower-fma.f32
13 832×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02042356
16252220
218072059
376172056
084111953
02002382
16012173
217472052
367022016
081361915
096384
1281358
2787338
32726311
47421311
08109302
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 734 to 268 computations (63.5% saved)

preprocess67.0ms (1%)

Memory
24.2MiB live, 143.0MiB allocated
Compiler

Compiled 896 to 144 computations (83.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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